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  2. Hypothesis - Wikipedia

    en.wikipedia.org/wiki/Hypothesis

    The hypothesis of Andreas Cellarius, showing the planetary motions in eccentric and epicyclical orbits. A hypothesis (pl.: hypotheses) is a proposed explanation for a phenomenon. A scientific hypothesis must be based on observations and make a testable and reproducible prediction about reality, in a process beginning with an educated guess or ...

  3. Null hypothesis - Wikipedia

    en.wikipedia.org/wiki/Null_hypothesis

    The statement that is being tested against the null hypothesis is the alternative hypothesis. [2] Symbols may include H 1 and H a . A statistical significance test starts with a random sample from a population.

  4. Statistical hypothesis test - Wikipedia

    en.wikipedia.org/wiki/Statistical_hypothesis_test

    An example of Neyman–Pearson hypothesis testing (or null hypothesis statistical significance testing) can be made by a change to the radioactive suitcase example. If the "suitcase" is actually a shielded container for the transportation of radioactive material, then a test might be used to select among three hypotheses: no radioactive source ...

  5. Type I and type II errors - Wikipedia

    en.wikipedia.org/wiki/Type_I_and_type_II_errors

    The consistent application by statisticians of Neyman and Pearson's convention of representing "the hypothesis to be tested" (or "the hypothesis to be nullified") with the expression H 0 has led to circumstances where many understand the term "the null hypothesis" as meaning "the nil hypothesis" – a statement that the results in question have ...

  6. Alternative hypothesis - Wikipedia

    en.wikipedia.org/wiki/Alternative_hypothesis

    The statement that is being tested against the null hypothesis is the alternative hypothesis. [2] Alternative hypothesis is often denoted as H a or H 1 . In statistical hypothesis testing , to prove the alternative hypothesis is true, it should be shown that the data is contradictory to the null hypothesis.

  7. Mathematical induction - Wikipedia

    en.wikipedia.org/wiki/Mathematical_induction

    The hypothesis in the induction step, that the statement holds for a particular n, is called the induction hypothesis or inductive hypothesis. To prove the induction step, one assumes the induction hypothesis for n and then uses this assumption to prove that the statement holds for n + 1 .

  8. Hypothetico-deductive model - Wikipedia

    en.wikipedia.org/wiki/Hypothetico-deductive_model

    The hypothetico-deductive model or method is a proposed description of the scientific method.According to it, scientific inquiry proceeds by formulating a hypothesis in a form that can be falsifiable, using a test on observable data where the outcome is not yet known.

  9. Working hypothesis - Wikipedia

    en.wikipedia.org/wiki/Working_hypothesis

    For Putnam, the working hypothesis represents a practical starting point in the design of an empirical research exploration. A contrasting example of this conception of the working hypothesis is illustrated by the brain-in-a-vat thought experiment. This experiment involves confronting the global skeptic position that we, in fact, are all just ...